IXL - Trigonometric ratios: csc, sec, and cot (Geometry practice)

Find the cosecant of

∠

Simplify your answer and write it as a proper fraction, improper fraction, or whole number.

csc

(

)

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question

Find the cosecant of

∠

Simplify your answer and write it as a proper fraction, improper fraction, or whole number.

csc

(

)

key idea

The cosecant

(

csc

)

of an acute angle in a right triangle is a ratio. It is the length of the hypotenuse

(

hyp

)

divided by the length of the opposite leg

(

opp

)

The hypotenuse is the side across from the right angle and the opposite leg is the side across from the specified angle.

csc

(

)

hyp

opp

solution

Take the formula for the cosecant of

∠

and plug in the relevant side lengths.

csc

(

)

Definition of cosecant

hyp

opp

Definition of cosecant

Substitute

hyp

and

opp

Substitute

hyp

and

opp

Plug in

and

Plug in

and

So,

csc

(

)

Looking for more? Try these:

Lesson: Trigonometric ratios

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Q.2Trigonometric ratios with radicals: sin, cos, and tan

Lesson: Trigonometric ratios

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